Presentation on theme: "Kinetic Models Considered Jeremy Dyson Basel, Switzerland."— Presentation transcript:
Kinetic Models Considered Jeremy Dyson Basel, Switzerland
2 Introduction Selected core models for parent compounds & metabolites in soil and water-sediment studies Models can be applied to other studies, e.g. hydrolysis Models chosen as simple & sensible approaches to representing behaviour from pseudo-mechanistic to more pragmatic perspectives Models displayed in terms of: Integrated equations based on initial conditions Differential of above for solving new problems Differential equations without initial conditions Endpoint calculation (DT50/DT90) from parameters
3 Outline The Core Models Single First Order Biphasic Models – Gustafson & Holden – Bi-Exponential – Hockey Stick Lag Phase Models – Modified Hockey Stick – Logistic Alternatives & Links to Leaching Models Conclusion
4 Single First Order (SFO) Fixed Shape DT90 = 3.32 x DT50 Assumes microbes not limiting Degradation % Remaining
14 Alternatives & Links to Leaching Models Alternatives models can be used, but: Needs to be justified, e.g. Michaelis-Menten kinetics Need to avoid, where possible: – Time-dependent endpoints – Concentration-dependent endpoints – Large number of parameters – Microbial population dynamics Avoid Timme et al. as already noted in Guideance Identify biphasic kinetics for use in leaching models Not possible, but can link to DFOP for estimation
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